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Finding the Third Proportional to 3,676,409 and 8,078,494

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Solution

The third proportional to 3,676,409 and 8,078,494 is: 17,751,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,409 : 8,078,494 = 8,078,494 : x
  2. Step 2: Convert to fraction form
    3,676,409/8,078,494 = 8,078,494/x
  3. Step 3: Cross multiply
    3,676,409x = 8,078,494 × 8,078,494
  4. Step 4: Simplify right side
    3,676,409x = 65,262,065,308,036
  5. Step 5: Solve for x
    x = 65,262,065,308,036/3,676,409
  6. Step 6: Final answer
    x = 17,751,579.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.